RHIC物理与低能强子物理讨论会

IsospinDependenceofROMP&NucleonEffectiveMassRHIC物理与低能强子物理探讨会山东威海2004年8月4日－7日马中玉中国原子能科学探讨院合作者：荣健陈宝秋朱志远宋宏秋ContentsIntroductionIsospindep.ofeffectiveint.

RelativisticopticalmodelpotentialScatteringfromexoticnuclei

Isospindependenceofeffectivemass

SummeryIntroductionImportanceofisospindependenceinmanyaspects:exoticnuclei;astrophysics;heavyioncollisionetc.Isospindependenceofquantitiesasymmetricenergyasfunctiondensityeffectiveinteractioneffectivemassetc.LessknowledgefromexperimentsStudyfromafundamentaltheoryDBHFapproachRelativisticapproaches

NN+DBHF

SuccessinNMsaturationproperties

DBHFGMatrix––-Nucleoneffectiveint.

InformationofisospindependenceDiracstructureofGMatrix

Bethe-Salpeterequation

3-dimensionalreduction:(RBBG)

Self-consistentcalculationsG?Us,U0Diraceq.s.p.wf

Gmatrix---donotkeepthetrackofrel.structure

G

UsUo

Singleparticleenergy

R.

Brockmann,R.MachleidtPRC42(90)1965

Momentumdep.ofUs&U0areneglected

workswellinSNM,inconsistentresultsinASNM

wrongsignoftheisospindependenceAsymmetricNM

Inconsequentialresultsforasymmetric

nuclearmatter

UsU0

isospindep.withawrongsignS.Ulrych,H.Muether,Phys.Rev.C56(1997)1788Projectionmethod

Projectionmethod

F.Boersma,R.Malfliet,PRC49(94)233

Ambiguityresultsareobtained

forwithPSandPV

Shiller,Muether,EPJ.A11(2001)15NewdecompositionofG

DecompositionofDBHFGmatrix

V:OBEP

Gaprojectionmethod(1,)(1,)

Shortrange

m(g/m)2

finite

E.Shiller,H.Muether,EPhys.J.A11(2001)15AsymmetryEnergy3-bodyforceParabolicbehaviorincreaseasthedensityMaandLiuPRC66(2002)024321;LiuandMaCPL19(2002)190Isospindep.NNeffectiveint.DBHF

UsU0(kF、)AG=V+GUs

E/A

B

RMF

g

gggdensitydep.

isospindep.effectiveint.RDDH:Brockmann,Toki,PRL68(92)3408RDHF:Ma,Shi,Chen,PRC50(94)3170Ma,Liu,PRC66(2002)024321FinitenucleiF.Hofmann,C.M.Keil,H.Lenske,PRC64(01)034314Opticalmodelpotential

Theopticalpotentialofanucleonthe

nucleonself-energyinthenuclearmedium

Nucleonself-energyinthenuclearmediumwithE>0k–EEincidentenergySimplemodelRHFintheandmodelg2/4=7.56kF

=1.36fm-1

g2/4=10.11B/A=-15.75MeVRealpart:Hartree-Fock

Imaginarypart:polarization

workinthesymmetricnuclearmatter

ZYMa,PZhu.YQGu,YZZhuo,Nucl.Phys.A490(88)619s,ws,wP+208PbatEp=65MeVMa,Zhu.Gu,Zhuo,Nucl.Phys.A490(88)619Outlinethemethodσ,ω,ηδ,ρ,πσ’,ω’δ’,ρ’DBHFΣ(k,kF,β)Us(k,kF,β)U0(k,kF,β)Us(E,r)U0(E,r)LDAE-kself-consistentlyρ,βreal&imaginary?Schroedingertypeeq.

(eliminatingsmallcomponent)

Veff,Vs.o.,Vdarwin,Vcoulombdσ/dΩ,Ay,QEffectiveinteractions

Effectiveint.HF()

Us,U0,B/AGImaginarypartof

OMPDensitydep.Effec.couplingconstants

Effectiveint.HF()Us,U0,B/AGConstraints:Self-Energyofprotonandneutron＝0,.3,.6,1208PbdensitydistributionProtonself-energiesSchroedingerequivalentpotentials208Pb(p,p)208Pb208Pb(p,p)208PbatE=65MeVIsospindependenceofOMPp+208PbisospindependenceIsospindependenceofOMP

IsospindependenceofOMPLanepotentialdifferenceofprotonandneutronOMPV1=24MeVProton208PbLanepotentialDensitydistributionofCa-isotopesPropertiesofCa-isotopes均方根半径p(fm)n(fm)40Ca3.37713.328648Ca3.37873.604860Ca3.355124.160170Ca3.66814.4457p+60CaatE=65MeV

ImportanceofisospindependenceOMPCalculationwithisospinddep.andisospinindep.OMPResultswithisospindep.OMParebetterforstablenuclei.LargedifferenceisobservedforexoticnucleiIsospindep.ofeffectivemassImportanceoftheisospindepndence

reactiondynamicsofnuclearcollisionsbyradioacticenucleineutron-protondifferentialcollectiveflow,isospinequil.neutronstarproperties

NothingisknownexperimentallyaboutNon-relativisticmodels:dep.onmodelsRMF:

consistentwithExp.

B.A.Linucl-th/0404040DefinitionofeffectivemassM*andm*referetodifferentquantitiesJaminon&Mahaux’89m*characterizesthenonlocalityofthemicroscopicpotentialinspace(k-mass)antime(E-mass)

derivedfromanalysesofexperimentaldatanonrel.shellmodeloropticalmodelDiracandLorentzmassRMFUsUoareconstantinenergy

Diracmass(scalarmass)